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Finding the Fourth Proportional to 4,597.46, 6,345.12 and 4,472.38

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Solution

The fourth proportional to 4,597.46, 6,345.12 and 4,472.38 is: 6,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.46 : 6,345.12 = 4,472.38 : x
  2. Step 2: Convert to fraction form
    4,597.46/6,345.12 = 4,472.38/x
  3. Step 3: Cross multiply
    4,597.46x = 6,345.12 × 4,472.38
  4. Step 4: Simplify right side
    4,597.46x = 28,377,787.79
  5. Step 5: Solve for x
    x = 28,377,787.79/4,597.46
  6. Step 6: Final answer
    x = 6,172.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.